6. Find the maximum volume for a rectangular solid in the first octant (x ≥ 0, y ≥ 0, z ≥ 0) with one vertex at the origin and opposite vertex on the plane x + y + z = 1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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6. Find the maximum volume for a rectangular solid in the first octant
(x ≥ 0, y ≥ 0, z ≥ 0) with one vertex at the origin and opposite vertex on
the plane x + y + z = 1.

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